M. Bondarko

activity

20042025

t

-structures; weight filtrations, spectral sequences, and complexes (for motives and in general)

148 citations · 390 across the 41 of their papers we have counts for

collaborators

Showing 2014 · math.AGShow all

2 papers · 2 filters

math.AG2014★ 3 cited

Detecting effectivity of motives, their weights, connectivity, and dimension via Chow-weight (co)homology: a "mixed motivic decomposition of the diagonal"

Mikhail V. Bondarko, Vladimir A. Sosnilo

We describe certain criteria for a motif $M$ to be $r$ -effective, i.e., to belong to the $r$ th Tate twist $O bj D M_{g m, R}^{e f f} (r) = O bj D M_{g m, R}^{e f f} \otimes L^{\otimes r}$ of effe…

math.AG2014★ 3 cited

On perverse homotopy $t$ -structures, coniveau spectral sequences, cycle modules, and relative Gersten weight structures

Mikhail V. Bondarko

We study the category $D M (S)$ of Beilinson motives (as described by Cisinski and Deglise) over a more or less general base scheme $S$ , and establish several nice properties for a v…

Detecting effectivity of motives, their weights, connectivity, and dimension via Chow-weight (co)homology: a "mixed motivic decomposition of the diagonal"

On perverse homotopy t-structures, coniveau spectral sequences, cycle modules, and relative Gersten weight structures

On perverse homotopy $t$ -structures, coniveau spectral sequences, cycle modules, and relative Gersten weight structures